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Linear equations in two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

A store sells two different-sized containers of a certain Greek yogurt. The store’s sales of this Greek yogurt totaled $1, 277.94$ dollars last month. The equation $5.48 x + 7.30 y = 1, 277.94$ represents this situation, where $x$ is the number of smaller containers sold and $y$ is the number of larger containers sold. According to the equation, which of the following represents the price, in dollars, of each smaller container?

ExplanationShow

Choice A is correct. It's given that the store's sales of a certain Greek yogurt totaled $1, 277.94$ dollars last month. It's also given that the equation $5.48 x + 7.30 y = 1, 277.94$ represents this situation, where $x$ is the number of smaller containers sold and $y$ is the number of larger containers sold. Since $x$ represents the number of smaller containers of yogurt sold, the expression $5.48 x$ represents the total sales, in dollars, from smaller containers of yogurt. This means that $x$ smaller containers of yogurt were sold at a price of $5.48$ dollars each. Therefore, according to the equation, $5.48$ represents the price, in dollars, of each smaller container.

Choice B is incorrect. This expression represents the total sales, in dollars, from selling $y$ larger containers of yogurt.

Choice C is incorrect. This value represents the price, in dollars, of each larger container of yogurt.

Choice D is incorrect. This expression represents the total sales, in dollars, from selling $x$ smaller containers of yogurt.

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Linear equations in two variables SAT question

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